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Finding the Third Proportional to 258,610.50 and 403,634.25

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Solution

The third proportional to 258,610.50 and 403,634.25 is: 629,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,610.50 : 403,634.25 = 403,634.25 : x
  2. Step 2: Convert to fraction form
    258,610.50/403,634.25 = 403,634.25/x
  3. Step 3: Cross multiply
    258,610.50x = 403,634.25 × 403,634.25
  4. Step 4: Simplify right side
    258,610.50x = 162,920,607,773.06
  5. Step 5: Solve for x
    x = 162,920,607,773.06/258,610.50
  6. Step 6: Final answer
    x = 629,984.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.